Degree(s):

Language:

Teacher(s):

Same as:

Course Objectives

Module Matematica Discreta I: The goal of this course is to expose the main concrete techniques in linear algebra (matrices, systems, determinants, vector spaces and linear maps) and to show the first strategies in abstract algebra.Module Matematica Discreta II: LOGIC: The goal of this Module is to provide the motivations, definitions and techniques in support of the usefulness of logic in the effective and efficient modeling of data and knowledge.
This Module is an introduction to mathematical logic and covers elementary discrete mathematics for computer science.
On successful completion of this module, the student should understand the fundamental concepts of mathematical logic and should be aware of potential applications in computing, including the limitations of algorithms.
GEOMETRY: The goals of this Module are to introduce students to the terminology and theorems of plane and solid geometry, and to apply algebraic, spatial, and logical reasoning to solve geometry problems.
This Module covers the fundamental concepts of Linear Algebra and its role in describing geometric settings.
On successful completion of this module, the student will develop spatial sense, visualize and represent geometric figures , explore transformations of geometric figures, understand and apply geometric properties and relationships, synthesize geometric concepts into algebraic, functional, and problem-solving activities.

Learning Outcomes (Dublin Descriptors)

On successful completion of this course, the student should

Module Matematica Discreta I

being aware of the main structures in Linear Algebra and Abstract Algebra.

demonstrate skill in mathematical reasoning, manipulation and calculation, demonstrate capacity for finding rigorous proofs of small problems; demonstrate skill in mathematical reasoning, manipulation and calculation by synthesizing geometric concepts into algebraic, functional, and problem-solving activities; demonstrate capacity to deduce properties of, and relationships between, figures from given assumptions and from using transformations.

Module Matematica Discreta II

On successful completion of this module, the student should

have profound knowledge of basic techniques in set theory;

have knowledge and understanding of logical and deductive arguments;

have profound knowledge of basic techniques in Linear Algebra;

have knowledge and understanding of logical and deductive arguments;

have knowledge and understanding of geometric relationships within the axiomatic structure of Euclidean geometry;

understand and apply geometric properties and relationships;

demonstrate capacity for finding rigorous proofs of small problems;

understand and explain the meaning of complex statements using mathematical notation and language;

understand the fundamental concepts of mathematical logic and should be aware of potential applications in computing.